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## Kepler's First law

In astronomy, Keplers laws of planetary motion are three scientific laws describing orbital motion, originally formulated to describe the motion of planets around the Sun.

Kelper's first law says that 'The orbit of every planet is an ellipse with the Sun at one of the two focii.

An ellipse is a closed plane curve that resembles a stretched out circle.Note that the Sun is not at the center of the ellipse, but at one of its foci. This focal point is sometimes called the occupied focus. The other focal point, known as the empty or vacant focus, marked with a lighter dot, has no physical significance for the orbit. The center of an ellipse is the midpoint of the line segment joining its focal points. A circle is a special case of an ellipse where both focal points coincide.The relative distance between a focal point and the center is known as the eccentricity. It can take any value greater than or equal to 0 (a circle) and less than 1.

## $\frac{p}{1+\epsilon *\mathrm{COS}\theta }$

Here,p=semi-latus rectum ε=eccentricity,0 < ε < 1 for a proper ellipse; if ε = 0

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